9,205,624

2³ × 1150703

9,205,624 factors as 2^3 × 1150703. Its 8 positive divisors give a proper-divisor sum of 8,054,936, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 1150703

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 17,260,560

Proper Divisor Sum 8,054,936

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9205601 ← → #9205631

Radix Representation

Decimal	9205624
Binary	100011000111011101111000 (24 bits)
Octal	0o43073570
Hexadecimal	0x8C7778

Divisor Catalog (8)

1 2 4 8 1,150,703 2,301,406 4,602,812 9,205,624

Collatz Trajectory (194 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,205,624 4,602,812 2,301,406 1,150,703 3,452,110 1,726,055 5,178,166 2,589,083 7,767,250 3,883,625 11,650,876 5,825,438 2,912,719 8,738,158 4,369,079 13,107,238 6,553,619 19,660,858 9,830,429 29,491,288 14,745,644 7,372,822 3,686,411 11,059,234 5,529,617 16,588,852 8,294,426 4,147,213 12,441,640 6,220,820 3,110,410 1,555,205 4,665,616 2,332,808 1,166,404 583,202 291,601 874,804 437,402 218,701 656,104 328,052 164,026 82,013 246,040 123,020 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622

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